Existing results [1]}, [2]} demonstrate the consistency of the estimated static Bradley-Terry scores provided that the data were generated from the Bradley-Terry model. However this assumption may be too restrictive for data generation processes in real world applications. In the rest of this section, we will consider model-agnostic time-varying settings where the Bradley-Terry model is not necessarily the true pairwise data generating model. In order to investigate the statistical properties of the proposed estimator, we impose the following relatively mild assumptions.
